Question

1/x-3 + 2/x-4 = 5/(x-3)(x-4)

Answer 1

Answer:

• x= 5

Step-by-step explanation:

$\sf~~~~~\implies \dfrac{1}{x - 3} + \dfrac{2}{x - 4} = \dfrac{5}{(x-3)(x-4)}$

$\sf~~~~~\implies \dfrac{1(x-4) + 2(x-3)}{(x-3)(x-4)} = \dfrac{5}{(x-3)(x-4)}$

$\sf~~~~~\implies \dfrac{x-4 + 2x-6}{ \cancel{(x-3)(x-4)}} = \dfrac{5}{ \cancel{(x-3)(x-4)}}$

$\sf~~~~~\implies 3x - 10 = 5$

$\sf~~~~~\implies 3x = 5 + 10$

$\sf~~~~~\implies 3x = 15$

$\sf~~~~~\implies \: x = 5$